Questions on Algebra: Logarithm answered by real tutors!

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Question 903523: Evaluate the expression, reducing to simplest form.
logbase5 sqrt625=

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Question 903876: Find the associated exponential decay or growth model.
Q = 2,500 when t = 0; half-life = 5

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Question 903926: logbase12 18 + logbase12 8

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Question 904270: What is the answer and work for +ln%28sqrt%28%282x%5E2%2B5%29%2F%283x%5E2-4%29%29%29+ ? Thank you!!
Click here to see answer by josgarithmetic(39799) About Me 

Question 905299: How do I solve the equation: $log_{2x}216=x$

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Question 905390: Please how can you solve logariths with different bases

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Question 905391: log(6x-3)base 3=1+log(x-3)base3)
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Question 905643: evaluate the following
log4 16-6log4 4+log4 1

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Question 905642: write as a single logarithm
in4m+in8m-log2m

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Question 905858: what is log base q of square root q
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Question 904251: Solve the equation.
Log(4p+1) + log(p) = log(3)

Click here to see answer by AlgebraLady88(44) About Me 

Question 907217: Express In 9.8 in terms of In 5 and In 7...
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Question 907132: how would you express the equation in logarithmic form, to this problem e^x + 3 = 0.4
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Question 906590: Solve the equation 5^2x+3+=0.008
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Question 908370: Hi,
Solve the following equation for v
w=log4(2v+3) the 4 is located on the bottom right of log

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Question 908371: Hi,
solve the following equation for x
log2 x + log2(x-7)-3 the 2 is located at the bottom right of log

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Question 908471: logx+log(x-11)=log(6x)
Click here to see answer by MathLover1(20855) About Me 

Question 908739: Solve without using tables, the value of x if:
log_2⁡〖4^(x+1) 〗=4
2 log_10⁡x+3 log_10⁡5=2

Click here to see answer by Alan3354(69443) About Me 

Question 909166: Just here to check my answers if am I correct. Its gonna be a long question anyway
If Im correct no need for solutions, if wrong, well just show the solution and right answer.
Rules:
log answer in 6 decimal places(no round-off error, just copy)
Money( with 2 decimal place, round-off error)
The Villager of Kieler completes an exploratory study and find the current village tower will need a replacement in 10 years at a cost of $290,000. To finance this amount, the village board will at this time asses it's 958 homeowners with a one time surcharge and then invest this amount in a 10 year Cash Deposit paying 8.25% interest compounded semiannually.
a.How much will the village of Kieler need to invest at this time in this CD in order to raise the $290,000 in 10 years?
b.What amount should each homeowner pay as a surcharge?
Answers:
a.$129,210.26
b.$134.88

Click here to see answer by josgarithmetic(39799) About Me 
Question 909166: Just here to check my answers if am I correct. Its gonna be a long question anyway
If Im correct no need for solutions, if wrong, well just show the solution and right answer.
Rules:
log answer in 6 decimal places(no round-off error, just copy)
Money( with 2 decimal place, round-off error)
The Villager of Kieler completes an exploratory study and find the current village tower will need a replacement in 10 years at a cost of $290,000. To finance this amount, the village board will at this time asses it's 958 homeowners with a one time surcharge and then invest this amount in a 10 year Cash Deposit paying 8.25% interest compounded semiannually.
a.How much will the village of Kieler need to invest at this time in this CD in order to raise the $290,000 in 10 years?
b.What amount should each homeowner pay as a surcharge?
Answers:
a.$129,210.26
b.$134.88

Click here to see answer by MathTherapy(10809) About Me 

Question 909228: Solution to e^-x = 5^2x
Click here to see answer by swincher4391(1107) About Me 

Question 909263: Hi good day i'm having problems with a logarithmic equation:
log X^4 - log X^3 = log 5x - log 2x
using the laws of logarithms i have been able to change the equation into the form:
log X^4/X^3 = log 5X/2X
its from here i am stuck. I need to solve for 'X'.Can you explain in the simplest way how i can solve for x. your help would be greatly appreciated.

Click here to see answer by Alan3354(69443) About Me 

Question 909305: Hi goodnight can you solve for x:
log (x - 1) + log (x + 1) = 2 log (x + 2)
did it already got an answer of 5/4 ...can you just do it with working so i know i did it right

Click here to see answer by MathLover1(20855) About Me 

Question 909304: Hi goodnight, can you solve for x:
log 2X^2 + logX = log32 - logX
I did the question already just not sure of the answer please help

Click here to see answer by MathLover1(20855) About Me 

Question 909438: reduce in only one expresion
a) log3 x + log3 5y

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Question 909438: reduce in only one expresion
a) log3 x + log3 5y

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Question 909440: reduce in only one expresion
a)b) log3 2z − log3 x.

Click here to see answer by MathLover1(20855) About Me 

Question 909511: Solve x
ln(x+1) - ln(x-1) = 1/2

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Question 909538: solve for x:
ln ( x/4.63) = 5.17

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Question 909847: 3log(-3)

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Question 910007: ln x = 3/4
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Question 910203: what values of x could not possibly be solutions of the following equation?
loga(4x-7)+loga(x^2+4)=0

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Question 910202: find the domain and range of f(x)=2^1/x
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Question 910336: A=P(1+r/n)^nt
Find t

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Question 910593: Solve for x
Log x 4 + log x 2 = 3

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Question 910665: log x2 = -4:
Click here to see answer by Fombitz(32388) About Me 

Question 910920: solve for x:
7.83 = 2.91e^-1.7x
please please need help

Click here to see answer by solver91311(24713) About Me 

Question 910917: solve for x:
e^4x - 125 = 0
please please need help

Click here to see answer by lwsshak3(11628) About Me 

Question 910912: solve for x:
log_3 (x - 2) = 3 - log_3 (x + 4)

Click here to see answer by solver91311(24713) About Me 

Question 911007: evaluate
1.log81
2.log6
3.log12

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Question 911137: 4 (x-10)-3 (2x+3)=

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Question 911358: Solve 2log3x =1+log3(18-x)
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Question 911756: f(x)=log down 1/3 (6x+12)
Click here to see answer by ichigo449(30) About Me 

Question 911974: Write the sum as the logarithm of a single number. log˯5 (7) +log˯5 (3)= ?
I know that this can be transferred from logarithm to an exponential equation of 5^x=7 and 5^x=3but I don't think figuring that out can get the answer, can you help?

Click here to see answer by MathLover1(20855) About Me 

Question 912074: soluttion x:34.66-2.52LN(X)-(31090/x)=0
I have inquired about this solution, but did not detail the process, ask to teach me how to start, thank you

Click here to see answer by Alan3354(69443) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045